Question

The ratio of A's stickers to B's stickers was 3:4.
After A bought another 18 stickers and B lost 10 stickers, the ratio became 3:2. Find the number of stickers both of them had at first.

Answer 1

a/b = 3/4
(a+18)/(b-10) = 3/2

4a = 3b
2(a+18) = 3(b-10)

2a+36 = 4a - 30
2a = 66
a = 33
b = 44

check:
33/44 = 3/4
(33+18)/(44-10) = 51/34 = 3/2

Answer 2

Thank you, Steve!

Answer 3

aw, shucks <scuff><scuff>